The formula for arc length is:
s= r∅
Given that ∅= 7π/4
and r= 5
Therefore, arc length s= 7π/4 *5 = 35π/4
Answer: The required arc length will be 27.5 units.
Step-by-step explanation: We are given to find the arc length with the following information :
[tex]\theta=\dfrac{7\pi}{4},~~~\textup{radius},~r=5.[/tex]
We know that the length of an arc with angle subtended at the center α and radius of the circle r units is given by
[tex]\ell=r\alpha.[/tex]
Therefore, the required arc length will be
[tex]\ell=r\theta=5\times\dfrac{7\pi}{4}=\dfrac{35}{4}\times \dfrac{22}{7}=\dfrac{5\times 11}{2}=\dfrac{55}{2}=27.5.[/tex]
Thus, the required arc length will be 27.5 units.
